Theorems · Theorem
Function.Semiconj.eq
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {ga : α → α} {gb : β → β},
Function.Semiconj f ga gb → ∀ (x : α), f (ga x) = gb (f x)- Defined in
- Mathlib.Logic.Function.Conjugate
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.Semiconjstatement and proof · cited by 82
Cited by12
Results whose statement or proof uses this declaration.
- Function.Commute.comp_iterateproof · cited by 6
- Function.IsFixedPt.mapproof · cited by 3
- Function.Semiconj.injOn_imageproof · cited by 2
- Function.Semiconj.inverses_rightproof · cited by 2
- Function.Semiconj.transproof · cited by 2
- Function.Commute.iterate_eq_of_map_eqproof · cited by 2
- Function.Semiconj.comp_rightproof · cited by 2
- CircleDeg1Lift.dist_map_zero_lt_of_semiconjproof · cited by 1
- Function.Semiconj.injOn_preimageproof · cited by 0
- Dynamics.coverEntropy_image_le_of_uniformContinuousOn_invariantproof · cited by 0
- Function.Semiconj.symm_adjointproof · cited by 0
- Dynamics.coverEntropyInf_image_le_of_uniformContinuousOn_invariantproof · cited by 0